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Finding the Fourth Proportional to 13,197.64, 18,212.76 and 7,229.32

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Solution

The fourth proportional to 13,197.64, 18,212.76 and 7,229.32 is: 9,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.64 : 18,212.76 = 7,229.32 : x
  2. Step 2: Convert to fraction form
    13,197.64/18,212.76 = 7,229.32/x
  3. Step 3: Cross multiply
    13,197.64x = 18,212.76 × 7,229.32
  4. Step 4: Simplify right side
    13,197.64x = 131,665,870.12
  5. Step 5: Solve for x
    x = 131,665,870.12/13,197.64
  6. Step 6: Final answer
    x = 9,976.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.